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Finding the Fourth Proportional to 12,144.70, 18,202.42 and 5,122

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Solution

The fourth proportional to 12,144.70, 18,202.42 and 5,122 is: 7,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.70 : 18,202.42 = 5,122 : x
  2. Step 2: Convert to fraction form
    12,144.70/18,202.42 = 5,122/x
  3. Step 3: Cross multiply
    12,144.70x = 18,202.42 × 5,122
  4. Step 4: Simplify right side
    12,144.70x = 93,232,795.24
  5. Step 5: Solve for x
    x = 93,232,795.24/12,144.70
  6. Step 6: Final answer
    x = 7,676.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.